Arithmetic Mean

The arithmetic mean is a commonly used measure of central tendency that represents the average of a set of numbers. It is calculated by adding up all the numbers in a set and dividing the sum by the total number of values in the set.

Finding the Arithmetic Mean between -6 and 14

To find the two arithmetic mean between -6 and 14, we need to first calculate the mean of the two numbers -6 and 14.

- Add -6 and 14: -6 + 14 = 8
- Divide the sum by 2: 8 ÷ 2 = 4

This means that the number 4 is the arithmetic mean of -6 and 14.

Calculating the First Arithmetic Mean

To find the first arithmetic mean between -6 and 14, we need to find the mean of -6 and 4.

- Add -6 and 4: -6 + 4 = -2
- Divide the sum by 2: -2 ÷ 2 = -1

Therefore, the first arithmetic mean between -6 and 14 is -1.

Calculating the Second Arithmetic Mean

To find the second arithmetic mean between -6 and 14, we need to find the mean of 4 and 14.

- Add 4 and 14: 4 + 14 = 18
- Divide the sum by 2: 18 ÷ 2 = 9

Therefore, the second arithmetic mean between -6 and 14 is 9.

Conclusion

In summary, the two arithmetic mean between -6 and 14 are -1 and 9.

Let -6,x,y,14
t4= a+3d
14=-6+3d
14+6=3d
20/3=d
t2= a+d
x=-6 + 20/3
x = 2/3
t3=a+2d
y=-6+2(20/3)
y=-6+40/3
y=22/3
so,the series is -6,2/3,22/3,14